The Magnus expansion and some of its applications
Approximate resolution of linear systems of differential equations with varying coefficients is
a recurrent problem, shared by a number of scientific and engineering areas, ranging from …
a recurrent problem, shared by a number of scientific and engineering areas, ranging from …
Lie-group methods
Many differential equations of practical interest evolve on Lie groups or on manifolds acted
upon by Lie groups. The retention of Lie-group structure under discretization is often vital in …
upon by Lie groups. The retention of Lie-group structure under discretization is often vital in …
Floquet–Magnus theory and generic transient dynamics in periodically driven many-body quantum systems
This work explores a fundamental dynamical structure for a wide range of many-body
quantum systems under periodic driving. Generically, in the thermodynamic limit, such …
quantum systems under periodic driving. Generically, in the thermodynamic limit, such …
[图书][B] Inverse eigenvalue problems: theory, algorithms, and applications
M Chu, G Golub - 2005 - books.google.com
Inverse eigenvalue problems arise in a remarkable variety of applications and associated
with any inverse eigenvalue problem are two fundamental questions—the theoretical issue …
with any inverse eigenvalue problem are two fundamental questions—the theoretical issue …
[图书][B] A concise introduction to geometric numerical integration
Discover How Geometric Integrators Preserve the Main Qualitative Properties of Continuous
Dynamical Systems A Concise Introduction to Geometric Numerical Integration presents the …
Dynamical Systems A Concise Introduction to Geometric Numerical Integration presents the …
Simulating molecular conductance using real-time density functional theory
CL Cheng, JS Evans, T Van Voorhis - Physical Review B—Condensed Matter …, 2006 - APS
We present real-time density functional calculations of finite-bias conductance in a
polyacetylene molecular wire. Our approach is based on a novel, efficient method for …
polyacetylene molecular wire. Our approach is based on a novel, efficient method for …
Floquet theory: exponential perturbative treatment
We develop a Magnus expansion well suited for Floquet theory of linear ordinary differential
equations with periodic coefficients. We build up a recursive scheme to obtain the terms in …
equations with periodic coefficients. We build up a recursive scheme to obtain the terms in …
On Magnus integrators for time-dependent Schrödinger equations
M Hochbruck, C Lubich - SIAM journal on numerical analysis, 2003 - SIAM
Numerical methods based on the Magnus expansion are an efficient class of integrators for
Schrödinger equations with time-dependent Hamiltonian. Though their derivation assumes …
Schrödinger equations with time-dependent Hamiltonian. Though their derivation assumes …
Linear algebra algorithms as dynamical systems
MT Chu - Acta numerica, 2008 - cambridge.org
Any logical procedure that is used to reason or to infer either deductively or inductively, so
as to draw conclusions or make decisions, can be called, in a broad sense, a realization …
as to draw conclusions or make decisions, can be called, in a broad sense, a realization …
[图书][B] Topics in noncommutative algebra: the theorem of Campbell, Baker, Hausdorff and Dynkin
A Bonfiglioli, R Fulci - 2011 - books.google.com
Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many
different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs …
different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs …